Which of the following statements is wrong about curl?
A: The curl of a vector field is a scalar and a function of the spatial coordinate points.
B: At a certain point M in the field,[img=84x28]1803b721c59068a.png[/img] means that the vector line of this point is spinning.
C: At a certain point M in the field,[img=84x26]1803b721cd97fe6.png[/img] means that the vector line of this point is spinless.
D: Curl have the dimension of circumferential area density.
A: The curl of a vector field is a scalar and a function of the spatial coordinate points.
B: At a certain point M in the field,[img=84x28]1803b721c59068a.png[/img] means that the vector line of this point is spinning.
C: At a certain point M in the field,[img=84x26]1803b721cd97fe6.png[/img] means that the vector line of this point is spinless.
D: Curl have the dimension of circumferential area density.
举一反三
- In the vector field, the vector line is such a curve where ( ) A: The tangent direction at each point on it is orthogonal to the direction of the vector field at that point. B: The tangent direction at each point on it is parallel to the direction of the vector field at that point. C: The value of each point on it is equal to the value of the vector field at that point. D: The vector line is the geometric curve of the vector field function.
- Vector line equation of vector field [img=153x30]1803b7224204019.png[/img] passing through point M(1,2,3) ( ) A: [img=53x22]1803b72249c008c.png[/img] B: [img=59x22]1803b722521410c.png[/img] C: [img=166x29]1803b7226023f4c.png[/img] D: [img=78x51]1803b7226872e38.png[/img]
- Known vector [img=223x30]1803b721d736bf3.png[/img] , the curl of [img=14x24]1803b721df718dc.png[/img] at point [img=87x25]1803b721e7b2f8a.png[/img]is ( ) A: [img=29x25]1803b721eff6fe8.png[/img] B: [img=90x25]1803b721f80db92.png[/img] C: [img=85x25]1803b72201de9f8.png[/img] D: [img=15x25]1803b7220aac252.png[/img]
- Known a scalar function [img=108x26]1803b72075a8d3c.png[/img], vector [img=136x30]1803b7207e4da5d.png[/img] , then the directional derivative of the scalar function [img=11x14]1803b720860ea18.png[/img] at point (2,-1,1) along vector [img=6x19]1803b7208dcaa57.png[/img] is ( ) A: 1 B: -1 C: [img=9x43]1803b72094edd3a.png[/img] D: [img=25x43]1803b7209ca0410.png[/img]
- The vector line equation of the vector field [img=408x30]1803b720e914a89.png[/img] is( ) A: [img=348x26]1803b720f3ee3da.png[/img] B: [img=304x26]1803b720fb4275c.png[/img] C: [img=304x48]1803b721069f000.png[/img] D: [img=275x48]1803b7210f9d574.png[/img]